I’ve given a few thoughts to the idea of doing some arrangements of fiddle tunes for fingerstyle guitar, not necessarily classical, but never taken action.
The traditional accompaniment to BG music, at least on the guitar, is the “boon-chuck”, i.e., 1-5 on the bass on the odd beats with the chord on the even beats. For solo fingerstyle guitar this is often rendered as some form on alternating bass, so you could go that way if you’re looking to stay on the traditional side. Otherwise your pretty free to go how you choose, depending on both your playing as well as composing skills.
On a side note: so many fiddle tunes are in the AABB forms, similar to many movements from Baroque suites. I often wondered if fiddlers back in the 18th century were influenced by their violinist cousins.